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A208620
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Number of Young tableaux with 7 n-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).
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1
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1, 1, 1716, 1705249, 14029729645, 279481714446151, 9493821912766657291, 475092942773985252468181, 32103240681864904236146331299, 2760173043757661872972723537937635, 289232902027154515366683463668541370431, 35764586048631587795405572631302247852797701
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OFFSET
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0,3
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COMMENTS
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Also the number of (7*n-1)-step walks on n-dimensional cubic lattice from (1,0,...,0) to (7,7,...,7) with positive unit steps in all dimensions such that for each point (p_1,p_2,...,p_n) we have p_1<=p_2<=...<=p_n or p_1>=p_2>=...>=p_n.
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LINKS
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Table of n, a(n) for n=0..11.
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CROSSREFS
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Row n=7 of A208615.
Sequence in context: A222343 A194719 A140910 * A025039 A068303 A212929
Adjacent sequences: A208617 A208618 A208619 * A208621 A208622 A208623
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KEYWORD
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nonn,walk
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AUTHOR
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Alois P. Heinz, Feb 29 2012
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STATUS
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approved
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